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Simplifying 3(y + -10) + 1 = -2(y + -8) Reorder the terms: 3(-10 + y) + 1 = -2(y + -8) (-10 * 3 + y * 3) + 1 = -2(y + -8) (-30 + 3y) + 1 = -2(y + -8) Reorder the terms: -30 + 1 + 3y = -2(y + -8) Combine like terms: -30 + 1 = -29 -29 + 3y = -2(y + -8) Reorder the terms: -29 + 3y = -2(-8 + y) -29 + 3y = (-8 * -2 + y * -2) -29 + 3y = (16 + -2y) Solving -29 + 3y = 16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -29 + 3y + 2y = 16 + -2y + 2y Combine like terms: 3y + 2y = 5y -29 + 5y = 16 + -2y + 2y Combine like terms: -2y + 2y = 0 -29 + 5y = 16 + 0 -29 + 5y = 16 Add '29' to each side of the equation. -29 + 29 + 5y = 16 + 29 Combine like terms: -29 + 29 = 0 0 + 5y = 16 + 29 5y = 16 + 29 Combine like terms: 16 + 29 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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